On static solutions in 2D dilaton gravity with scalar matter

Abstract

Within the first order formalism static solutions of generic dilaton gravity in 2D with self-interacting (scalar) matter can be discussed with ease. The question of (non)existence of Killing horizons is addressed and the interplay with asymptotic conditions is investigated. Naturally, such an analysis has to be a global one. A central element in the discussion is the rank of the Jacobi matrix of the underlying dynamical system. With some (pathological) exceptions Killing horizons exist only if it equals to 3. For certain self-interactions asymptotically flat black holes with scalar hair do exist. An example relevant to general relativity is provided. Finally, generalizations are addressed including 2D type 0A string theory as a particular example. Additionally, in a pedagogical appendix the mass definition in dilaton gravity is briefly reviewed and a unique prescription to fix scaling and shift ambiguity is presented.

33 pages, 2 eps-figures

References in corpus (39)

• Dilaton Gravity in Two Dimensions
• Gravitating Non-Abelian Solitons and Black Holes with Yang-Mills Fields
• Geometrodynamics of Schwarzschild Black Holes
• Liouville Field Theory -- A decade after the revolution
• Poisson Structure Induced (Topological) Field Theories
• No hair for spherical black holes: charged and nonminimally coupled scalar field with self--interaction
• A Matrix Model Dual of Type 0B String Theory in Two Dimensions
• Canonical Quantization of Spherically Symmetric Gravity in Ashtekar's Self-Dual Representation
• Conservation Laws and 2D Black Holes in Dilaton Gravity
• Dimensionally Reduced Gravitational Chern-Simons Term and its Kink
• Classical and Quantum Gravity in 1+1 Dimensions, Part I: A Unifying Approach
• Spherically Symmetric Gravity as a Completely Integrable System
• On the Completeness of the Black Hole Singularity in 2d Dilaton Theories
• Flux Backgrounds in 2D String Theory
• Classical and Quantum Gravity in 1+1 Dimensions, Part II: The Universal Coverings
• The Classical Solutions of the Dimensionally Reduced Gravitational Chern-Simons Theory
• Hamiltonian thermodynamics of the Schwarzschild black hole
• New no-scalar-hair theorem for black-holes
• Superstrings in 2D Backgrounds with R-R Flux and New Extremal Black Holes
• Supersymmetry and Positive Energy in Classical and Quantum Two-Dimensional Dilaton Gravity
• Spherical Black Holes cannot Support Scalar Hair
• A simple theorem to generate exact black hole solutions
• Hairy Black Holes, Horizon Mass and Solitons
• Novel Symmetry of Non-Einsteinian Gravity in Two Dimensions
• Black holes cannot support conformal scalar hair
• Integrating Geometry in General 2D Dilaton Gravity with Matter
• On Black Hole Thermodynamics of 2-D Type 0A
• On the Canonical Reduction of Spherically Symmetric Gravity
• Type 0A 2D Black Hole Thermodynamics and the Deformed Matrix Model
• Graded Poisson-Sigma Models and Dilaton-Deformed 2D Supergravity Algebra
• General Two-Dimensional Supergravity from Poisson Superalgebras
• Hawking radiation and masses in generalized dilaton theories
• Absolute conservation law for black holes
• Supersymmetric black holes in 2D dilaton supergravity: baldness and extremality
• Long time black hole evaporation with bounded Hawking flux
• Boundary Conditions and Quasilocal Energy in the Canonical Formulation of All 1+1 Models of Gravity
• Two-Dilaton Theories in Two Dimensions from Dimensional Reduction
• Horizons in 1+1 Dimensional Dilaton Gravity Coupled to Matter
• The ultrarelativistic limit of 2D dilaton gravity and its energy momentum tensor

Cited by in corpus (6)

• An action for the exact string black hole
• Boundary Counterterms and the Thermodynamics of 2-D Black Holes
• Chemistry of Chern-Simons Supergravity: reduction to a BPS kink, oxidation to M-theory and thermodynamical aspects
• Virtual Black Holes and the S-matrix
• The Spherically Symmetric Standard Model with Gravity
• Affine quantization of Black Holes: thermodynamics, singularity removal and displaced horizons